It is well known that nucleons consist of pointlike particles denominated as partons, revealed by lepton nucleon deep inelastic scattering (DIS) experiment [1]}, [2]} almost half a century ago. There have been tremendous efforts to precisely determine the parton distribution functions (PDFs) of the proton worldwide. Distributions of the valence-up quarks, valence-down quarks and gluons are determined to a level that could give, by and large, a consistent result on physical quantities in the standard model (SM) obtained from high-energy collision experiments [3]}, [4]}, [5]}, [6]}, [7]}. However, the strange content of the proton, which is poorly known because of limited sources of strangeness-sensitive data, is still ambiguous to our understandings of the partonic structure of the proton. Strange quark PDFs of nucleons play a vital role for a number of physics processes at the LHC, ranging from measurements of \(W\)  boson production in association with a charm jet [8]} and determinations of electroweak (EW) interaction parameters to the formation of strange hadrons [9]}.
